0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 07:44:21 EDT 2020 0.11/0.33 % CPUTime : 0.18/0.48 % (4958)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.18/0.49 % (4949)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.18/0.50 % (4967)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 0.18/0.50 % (4959)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 0.18/0.51 % (4966)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 0.18/0.52 % (4950)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.18/0.52 % (4948)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.18/0.54 % (4945)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.18/0.54 % (4946)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.18/0.55 % (4944)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.18/0.55 % (4943)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.18/0.55 % (4972)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 0.18/0.55 % (4947)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.18/0.55 % (4961)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 0.18/0.55 % (4962)WARNING: option uwaf not known. 0.18/0.55 % (4960)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 0.18/0.55 % (4962)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.18/0.56 % (4963)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.18/0.56 % (4973)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 0.18/0.56 % (4964)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 0.18/0.56 % (4953)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.18/0.56 % (4951)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.18/0.56 % (4955)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 0.18/0.56 % (4965)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.18/0.56 % (4956)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.18/0.57 % (4968)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 0.18/0.57 % (4969)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 0.18/0.57 % (4970)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 0.18/0.57 % (4957)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 0.18/0.57 % (4971)dis+10_6_afr=on:afp=1000:afq=1.2:anc=none:bsr=on:fsr=off:gs=on:lcm=reverse:nm=64:newcnf=on:nwc=1.7:sas=z3:tha=off_4 on theBenchmark 1.76/0.58 % (4954)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 1.76/0.59 % (4955)Refutation not found, incomplete strategy% (4955)------------------------------ 1.76/0.59 % (4955)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.76/0.59 % (4955)Termination reason: Refutation not found, incomplete strategy 1.76/0.59 1.76/0.59 % (4955)Memory used [KB]: 6268 1.76/0.59 % (4955)Time elapsed: 0.175 s 1.76/0.59 % (4955)------------------------------ 1.76/0.59 % (4955)------------------------------ 3.01/0.76 % (4949)Refutation found. Thanks to Tanya! 3.01/0.76 % SZS status Theorem for theBenchmark 3.01/0.76 % SZS output start Proof for theBenchmark 3.01/0.76 tff(type_def_5, type, uni: $tType). 3.01/0.76 tff(type_def_6, type, ty: $tType). 3.01/0.76 tff(type_def_7, type, bool1: $tType). 3.01/0.76 tff(type_def_8, type, tuple02: $tType). 3.01/0.76 tff(type_def_9, type, uf_pure1: $tType). 3.01/0.76 tff(type_def_10, type, uf1: $tType). 3.01/0.76 tff(type_def_11, type, graph1: $tType). 3.01/0.76 tff(func_def_0, type, witness1: ty > uni). 3.01/0.76 tff(func_def_1, type, int: ty). 3.01/0.76 tff(func_def_2, type, real: ty). 3.01/0.76 tff(func_def_3, type, bool: ty). 3.01/0.76 tff(func_def_4, type, true1: bool1). 3.01/0.76 tff(func_def_5, type, false1: bool1). 3.01/0.76 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 3.01/0.76 tff(func_def_7, type, tuple0: ty). 3.01/0.76 tff(func_def_8, type, tuple03: tuple02). 3.01/0.76 tff(func_def_9, type, qtmark: ty). 3.01/0.76 tff(func_def_10, type, ref: ty > ty). 3.01/0.76 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 3.01/0.76 tff(func_def_12, type, contents: (ty * uni) > uni). 3.01/0.76 tff(func_def_13, type, uf_pure: ty). 3.01/0.76 tff(func_def_14, type, size1: uf_pure1 > $int). 3.01/0.76 tff(func_def_15, type, num1: uf_pure1 > $int). 3.01/0.76 tff(func_def_16, type, uf: ty). 3.01/0.76 tff(func_def_17, type, mk_uf1: uf_pure1 > uf1). 3.01/0.76 tff(func_def_18, type, state1: uf1 > uf_pure1). 3.01/0.76 tff(func_def_19, type, graph: ty). 3.01/0.76 tff(func_def_24, type, sK0: $int). 3.01/0.76 tff(func_def_25, type, sK1: $int). 3.01/0.76 tff(func_def_26, type, sK2: graph1). 3.01/0.76 tff(func_def_27, type, sK3: uf_pure1). 3.01/0.76 tff(func_def_28, type, sK4: $int). 3.01/0.76 tff(func_def_29, type, sK5: $int). 3.01/0.76 tff(func_def_30, type, sK6: (uf_pure1 * $int) > $int). 3.01/0.76 tff(func_def_31, type, sK7: (graph1 * $int * $int) > graph1). 3.01/0.76 tff(func_def_32, type, sK8: (graph1 * $int * $int) > $int). 3.01/0.76 tff(func_def_33, type, sK9: (graph1 * $int * $int) > $int). 3.01/0.76 tff(func_def_34, type, sK10: (graph1 * $int * $int) > $int). 3.01/0.76 tff(func_def_35, type, sK11: (graph1 * $int * $int) > graph1). 3.01/0.76 tff(func_def_36, type, sK12: (graph1 * $int * $int) > $int). 3.01/0.76 tff(func_def_37, type, sK13: (graph1 * $int * $int) > $int). 3.01/0.76 tff(func_def_38, type, sK14: (graph1 * $int * $int) > graph1). 3.01/0.76 tff(func_def_39, type, sK15: (graph1 * $int * $int) > $int). 3.01/0.76 tff(func_def_40, type, sK16: (uf_pure1 * $int * $int) > $int). 3.01/0.76 tff(pred_def_1, type, sort1: (ty * uni) > $o). 3.01/0.76 tff(pred_def_2, type, repr1: (uf_pure1 * $int * $int) > $o). 3.01/0.76 tff(pred_def_3, type, same1: (uf_pure1 * $int * $int) > $o). 3.01/0.76 tff(pred_def_4, type, same_reprs1: (uf_pure1 * uf_pure1) > $o). 3.01/0.76 tff(pred_def_5, type, path1: (graph1 * $int * $int) > $o). 3.01/0.76 tff(f452,plain,( 3.01/0.76 $false), 3.01/0.76 inference(avatar_sat_refutation,[],[f180,f184,f188,f192,f196,f207,f212,f217,f222,f230,f234,f238,f249,f253,f258,f263,f273,f278,f288,f296,f307,f381,f387,f397,f401,f405,f414,f418,f422,f436,f440,f446,f451])). 3.01/0.76 tff(f451,plain,( 3.01/0.76 spl17_21 | ~spl17_5 | spl17_9 | spl17_10 | ~spl17_13 | ~spl17_17 | ~spl17_19 | ~spl17_20), 3.01/0.76 inference(avatar_split_clause,[],[f450,f276,f271,f256,f228,f215,f210,f194,f286])). 3.01/0.76 tff(f286,plain,( 3.01/0.76 spl17_21 <=> sK4 = sK5), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_21])])). 3.01/0.76 tff(f194,plain,( 3.01/0.76 spl17_5 <=> num1(sK3) = $product(sK0,sK0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_5])])). 3.01/0.76 tff(f210,plain,( 3.01/0.76 spl17_9 <=> $less(sK5,0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_9])])). 3.01/0.76 tff(f215,plain,( 3.01/0.76 spl17_10 <=> $less(sK4,0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_10])])). 3.01/0.76 tff(f228,plain,( 3.01/0.76 spl17_13 <=> same1(sK3,sK4,sK5)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_13])])). 3.01/0.76 tff(f256,plain,( 3.01/0.76 spl17_17 <=> size1(sK3) = num1(sK3)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_17])])). 3.01/0.76 tff(f271,plain,( 3.01/0.76 spl17_19 <=> $less(sK4,size1(sK3))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_19])])). 3.01/0.76 tff(f276,plain,( 3.01/0.76 spl17_20 <=> $less(sK5,size1(sK3))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_20])])). 3.01/0.76 tff(f450,plain,( 3.01/0.76 sK4 = sK5 | (~spl17_5 | spl17_9 | spl17_10 | ~spl17_13 | ~spl17_17 | ~spl17_19 | ~spl17_20)), 3.01/0.76 inference(subsumption_resolution,[],[f449,f277])). 3.01/0.76 tff(f277,plain,( 3.01/0.76 $less(sK5,size1(sK3)) | ~spl17_20), 3.01/0.76 inference(avatar_component_clause,[],[f276])). 3.01/0.76 tff(f449,plain,( 3.01/0.76 ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_5 | spl17_9 | spl17_10 | ~spl17_13 | ~spl17_17 | ~spl17_19)), 3.01/0.76 inference(subsumption_resolution,[],[f448,f211])). 3.01/0.76 tff(f211,plain,( 3.01/0.76 ~$less(sK5,0) | spl17_9), 3.01/0.76 inference(avatar_component_clause,[],[f210])). 3.01/0.76 tff(f448,plain,( 3.01/0.76 $less(sK5,0) | ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_5 | spl17_10 | ~spl17_13 | ~spl17_17 | ~spl17_19)), 3.01/0.76 inference(subsumption_resolution,[],[f447,f216])). 3.01/0.76 tff(f216,plain,( 3.01/0.76 ~$less(sK4,0) | spl17_10), 3.01/0.76 inference(avatar_component_clause,[],[f215])). 3.01/0.76 tff(f447,plain,( 3.01/0.76 $less(sK4,0) | $less(sK5,0) | ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_5 | ~spl17_13 | ~spl17_17 | ~spl17_19)), 3.01/0.76 inference(subsumption_resolution,[],[f442,f272])). 3.01/0.76 tff(f272,plain,( 3.01/0.76 $less(sK4,size1(sK3)) | ~spl17_19), 3.01/0.76 inference(avatar_component_clause,[],[f271])). 3.01/0.76 tff(f442,plain,( 3.01/0.76 ~$less(sK4,size1(sK3)) | $less(sK4,0) | $less(sK5,0) | ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_5 | ~spl17_13 | ~spl17_17)), 3.01/0.76 inference(resolution,[],[f233,f267])). 3.01/0.76 tff(f267,plain,( 3.01/0.76 ( ! [X8:$int,X7:$int] : (~same1(sK3,X7,X8) | ~$less(X7,size1(sK3)) | $less(X7,0) | $less(X8,0) | ~$less(X8,size1(sK3)) | X7 = X8) ) | (~spl17_5 | ~spl17_17)), 3.01/0.76 inference(forward_demodulation,[],[f265,f257])). 3.01/0.76 tff(f257,plain,( 3.01/0.76 size1(sK3) = num1(sK3) | ~spl17_17), 3.01/0.76 inference(avatar_component_clause,[],[f256])). 3.01/0.76 tff(f265,plain,( 3.01/0.76 ( ! [X8:$int,X7:$int] : (~$less(X7,size1(sK3)) | ~$less(X8,num1(sK3)) | $less(X7,0) | $less(X8,0) | ~same1(sK3,X7,X8) | X7 = X8) ) | (~spl17_5 | ~spl17_17)), 3.01/0.76 inference(backward_demodulation,[],[f245,f257])). 3.01/0.76 tff(f245,plain,( 3.01/0.76 ( ! [X8:$int,X7:$int] : (~$less(X8,num1(sK3)) | ~$less(X7,num1(sK3)) | $less(X7,0) | $less(X8,0) | ~same1(sK3,X7,X8) | X7 = X8) ) | ~spl17_5), 3.01/0.76 inference(forward_demodulation,[],[f240,f195])). 3.01/0.76 tff(f195,plain,( 3.01/0.76 num1(sK3) = $product(sK0,sK0) | ~spl17_5), 3.01/0.76 inference(avatar_component_clause,[],[f194])). 3.01/0.76 tff(f240,plain,( 3.01/0.76 ( ! [X8:$int,X7:$int] : (~$less(X7,num1(sK3)) | $less(X7,0) | $less(X8,0) | ~$less(X8,$product(sK0,sK0)) | ~same1(sK3,X7,X8) | X7 = X8) ) | ~spl17_5), 3.01/0.76 inference(backward_demodulation,[],[f78,f195])). 3.01/0.76 tff(f78,plain,( 3.01/0.76 ( ! [X8:$int,X7:$int] : ($less(X7,0) | ~$less(X7,$product(sK0,sK0)) | $less(X8,0) | ~$less(X8,$product(sK0,sK0)) | ~same1(sK3,X7,X8) | X7 = X8) )), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f51,plain,( 3.01/0.76 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) <~> same1(X5,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & ~$less(X9,0) & $less(X9,$product(X0,X0))) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)))), 3.01/0.76 inference(flattening,[],[f50])). 3.01/0.76 tff(f50,plain,( 3.01/0.76 ? [X0 : $int,X1 : $int,X2 : graph1] : ((? [X5 : uf_pure1] : ((($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : (((path1(X2,X9,X10) <~> same1(X5,X9,X10)) & ($less(X10,$product(X0,X0)) & ~$less(X10,0))) & (~$less(X9,0) & $less(X9,$product(X0,X0)))) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((((repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8)) | ~same1(X5,X7,X8)) | (~$less(X8,$product(X0,X0)) | $less(X8,0))) | (~$less(X7,$product(X0,X0)) | $less(X7,0)))) & (! [X6 : $int] : (repr1(X5,X6,X6) | (~$less(X6,$product(X0,X0)) | $less(X6,0))) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5))) & ~$less($product(X0,X0),0)) & (~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4))))), 3.01/0.76 inference(ennf_transformation,[],[f33])). 3.01/0.76 tff(f33,plain,( 3.01/0.76 ~! [X0 : $int,X1 : $int,X2 : graph1] : ((~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4))) => (~$less($product(X0,X0),0) => ! [X5 : uf_pure1] : ((! [X6 : $int] : (($less(X6,$product(X0,X0)) & ~$less(X6,0)) => repr1(X5,X6,X6)) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5)) => (! [X7 : $int,X8 : $int] : (($less(X7,$product(X0,X0)) & ~$less(X7,0)) => (($less(X8,$product(X0,X0)) & ~$less(X8,0)) => (same1(X5,X7,X8) => (repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8))))) => (~$less(num1(X5),1) & ! [X9 : $int,X10 : $int] : ((~$less(X9,0) & $less(X9,$product(X0,X0))) => (($less(X10,$product(X0,X0)) & ~$less(X10,0)) => (path1(X2,X9,X10) <=> same1(X5,X9,X10)))) & $product(X0,X0) = size1(X5) & size1(X5) = $sum(num1(X5),X1))))))), 3.01/0.76 inference(rectify,[],[f27])). 3.01/0.76 tff(f27,plain,( 3.01/0.76 ~! [X4 : $int,X5 : $int,X6 : graph1] : ((~$less(X4,1) & 0 = X5 & ! [X1 : $int,X2 : $int] : (X1 = X2 <=> path1(X6,X1,X2))) => (~$less($product(X4,X4),0) => ! [X0 : uf_pure1] : ((! [X1 : $int] : (($less(X1,$product(X4,X4)) & ~$less(X1,0)) => repr1(X0,X1,X1)) & size1(X0) = $product(X4,X4) & $product(X4,X4) = num1(X0)) => (! [X1 : $int,X2 : $int] : (($less(X1,$product(X4,X4)) & ~$less(X1,0)) => (($less(X2,$product(X4,X4)) & ~$less(X2,0)) => (same1(X0,X1,X2) => (repr1(X0,X1,X1) & X1 = X2 & repr1(X0,X1,X2))))) => (~$less(num1(X0),1) & ! [X1 : $int,X2 : $int] : ((~$less(X1,0) & $less(X1,$product(X4,X4))) => (($less(X2,$product(X4,X4)) & ~$less(X2,0)) => (path1(X6,X1,X2) <=> same1(X0,X1,X2)))) & size1(X0) = $product(X4,X4) & size1(X0) = $sum(num1(X0),X5))))))), 3.01/0.76 inference(theory_normalization,[],[f3])). 3.01/0.76 tff(f3,negated_conjecture,( 3.01/0.76 ~! [X4 : $int,X5 : $int,X6 : graph1] : (($lesseq(1,X4) & 0 = X5 & ! [X1 : $int,X2 : $int] : (X1 = X2 <=> path1(X6,X1,X2))) => ($lesseq(0,$product(X4,X4)) => ! [X0 : uf_pure1] : ((! [X1 : $int] : (($less(X1,$product(X4,X4)) & $lesseq(0,X1)) => repr1(X0,X1,X1)) & size1(X0) = $product(X4,X4) & $product(X4,X4) = num1(X0)) => (! [X1 : $int,X2 : $int] : (($less(X1,$product(X4,X4)) & $lesseq(0,X1)) => (($less(X2,$product(X4,X4)) & $lesseq(0,X2)) => (same1(X0,X1,X2) => (repr1(X0,X1,X1) & X1 = X2 & repr1(X0,X1,X2))))) => ($lesseq(1,num1(X0)) & ! [X1 : $int,X2 : $int] : (($lesseq(0,X1) & $less(X1,$product(X4,X4))) => (($less(X2,$product(X4,X4)) & $lesseq(0,X2)) => (path1(X6,X1,X2) <=> same1(X0,X1,X2)))) & size1(X0) = $product(X4,X4) & size1(X0) = $sum(num1(X0),X5))))))), 3.01/0.76 inference(negated_conjecture,[],[f2])). 3.01/0.76 tff(f2,conjecture,( 3.01/0.76 ! [X4 : $int,X5 : $int,X6 : graph1] : (($lesseq(1,X4) & 0 = X5 & ! [X1 : $int,X2 : $int] : (X1 = X2 <=> path1(X6,X1,X2))) => ($lesseq(0,$product(X4,X4)) => ! [X0 : uf_pure1] : ((! [X1 : $int] : (($less(X1,$product(X4,X4)) & $lesseq(0,X1)) => repr1(X0,X1,X1)) & size1(X0) = $product(X4,X4) & $product(X4,X4) = num1(X0)) => (! [X1 : $int,X2 : $int] : (($less(X1,$product(X4,X4)) & $lesseq(0,X1)) => (($less(X2,$product(X4,X4)) & $lesseq(0,X2)) => (same1(X0,X1,X2) => (repr1(X0,X1,X1) & X1 = X2 & repr1(X0,X1,X2))))) => ($lesseq(1,num1(X0)) & ! [X1 : $int,X2 : $int] : (($lesseq(0,X1) & $less(X1,$product(X4,X4))) => (($less(X2,$product(X4,X4)) & $lesseq(0,X2)) => (path1(X6,X1,X2) <=> same1(X0,X1,X2)))) & size1(X0) = $product(X4,X4) & size1(X0) = $sum(num1(X0),X5))))))), 3.01/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_build_maze)). 3.01/0.76 tff(f233,plain,( 3.01/0.76 same1(sK3,sK4,sK5) | ~spl17_13), 3.01/0.76 inference(avatar_component_clause,[],[f228])). 3.01/0.76 tff(f446,plain,( 3.01/0.76 spl17_33 | ~spl17_13 | ~spl17_23), 3.01/0.76 inference(avatar_split_clause,[],[f441,f305,f228,f444])). 3.01/0.76 tff(f444,plain,( 3.01/0.76 spl17_33 <=> repr1(sK3,sK5,sK4)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_33])])). 3.01/0.76 tff(f305,plain,( 3.01/0.76 spl17_23 <=> repr1(sK3,sK4,sK4)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_23])])). 3.01/0.76 tff(f441,plain,( 3.01/0.76 repr1(sK3,sK5,sK4) | (~spl17_13 | ~spl17_23)), 3.01/0.76 inference(resolution,[],[f233,f370])). 3.01/0.76 tff(f370,plain,( 3.01/0.76 ( ! [X0:$int] : (~same1(sK3,sK4,X0) | repr1(sK3,X0,sK4)) ) | ~spl17_23), 3.01/0.76 inference(resolution,[],[f170,f306])). 3.01/0.76 tff(f306,plain,( 3.01/0.76 repr1(sK3,sK4,sK4) | ~spl17_23), 3.01/0.76 inference(avatar_component_clause,[],[f305])). 3.01/0.76 tff(f170,plain,( 3.01/0.76 ( ! [X2:$int,X0:uf_pure1,X3:$int,X1:$int] : (~repr1(X0,X1,X3) | repr1(X0,X2,X3) | ~same1(X0,X1,X2)) )), 3.01/0.76 inference(cnf_transformation,[],[f47])). 3.01/0.76 tff(f47,plain,( 3.01/0.76 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X3 : $int] : (repr1(X0,X1,X3) <=> repr1(X0,X2,X3)))), 3.01/0.76 inference(rectify,[],[f7])). 3.01/0.76 tff(f7,axiom,( 3.01/0.76 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X9 : $int] : (repr1(X0,X1,X9) <=> repr1(X0,X2,X9)))), 3.01/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_def)). 3.01/0.76 tff(f440,plain,( 3.01/0.76 spl17_12 | ~spl17_21), 3.01/0.76 inference(avatar_contradiction_clause,[],[f439])). 3.01/0.76 tff(f439,plain,( 3.01/0.76 $false | (spl17_12 | ~spl17_21)), 3.01/0.76 inference(subsumption_resolution,[],[f438,f176])). 3.01/0.76 tff(f176,plain,( 3.01/0.76 ( ! [X4:$int] : (path1(sK2,X4,X4)) )), 3.01/0.76 inference(equality_resolution,[],[f84])). 3.01/0.76 tff(f84,plain,( 3.01/0.76 ( ! [X4:$int,X3:$int] : (path1(sK2,X3,X4) | X3 != X4) )), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f438,plain,( 3.01/0.76 ~path1(sK2,sK4,sK4) | (spl17_12 | ~spl17_21)), 3.01/0.76 inference(forward_demodulation,[],[f226,f287])). 3.01/0.76 tff(f287,plain,( 3.01/0.76 sK4 = sK5 | ~spl17_21), 3.01/0.76 inference(avatar_component_clause,[],[f286])). 3.01/0.76 tff(f226,plain,( 3.01/0.76 ~path1(sK2,sK4,sK5) | spl17_12), 3.01/0.76 inference(avatar_component_clause,[],[f225])). 3.01/0.76 tff(f225,plain,( 3.01/0.76 spl17_12 <=> path1(sK2,sK4,sK5)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_12])])). 3.01/0.76 tff(f436,plain,( 3.01/0.76 spl17_22), 3.01/0.76 inference(avatar_contradiction_clause,[],[f431])). 3.01/0.76 tff(f431,plain,( 3.01/0.76 $false | spl17_22), 3.01/0.76 inference(resolution,[],[f430,f295])). 3.01/0.76 tff(f295,plain,( 3.01/0.76 ~same1(sK3,sK4,sK4) | spl17_22), 3.01/0.76 inference(avatar_component_clause,[],[f294])). 3.01/0.76 tff(f294,plain,( 3.01/0.76 spl17_22 <=> same1(sK3,sK4,sK4)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_22])])). 3.01/0.76 tff(f430,plain,( 3.01/0.76 ( ! [X0:uf_pure1,X1:$int] : (same1(X0,X1,X1)) )), 3.01/0.76 inference(subsumption_resolution,[],[f429,f172])). 3.01/0.76 tff(f172,plain,( 3.01/0.76 ( ! [X2:$int,X0:uf_pure1,X1:$int] : (~repr1(X0,X2,sK16(X0,X1,X2)) | ~repr1(X0,X1,sK16(X0,X1,X2)) | same1(X0,X1,X2)) )), 3.01/0.76 inference(cnf_transformation,[],[f47])). 3.01/0.76 tff(f429,plain,( 3.01/0.76 ( ! [X0:uf_pure1,X1:$int] : (repr1(X0,X1,sK16(X0,X1,X1)) | same1(X0,X1,X1)) )), 3.01/0.76 inference(factoring,[],[f171])). 3.01/0.76 tff(f171,plain,( 3.01/0.76 ( ! [X2:$int,X0:uf_pure1,X1:$int] : (repr1(X0,X2,sK16(X0,X1,X2)) | repr1(X0,X1,sK16(X0,X1,X2)) | same1(X0,X1,X2)) )), 3.01/0.76 inference(cnf_transformation,[],[f47])). 3.01/0.76 tff(f422,plain,( 3.01/0.76 spl17_10 | ~spl17_19 | ~spl17_27), 3.01/0.76 inference(avatar_contradiction_clause,[],[f421])). 3.01/0.76 tff(f421,plain,( 3.01/0.76 $false | (spl17_10 | ~spl17_19 | ~spl17_27)), 3.01/0.76 inference(subsumption_resolution,[],[f420,f216])). 3.01/0.76 tff(f420,plain,( 3.01/0.76 $less(sK4,0) | (~spl17_19 | ~spl17_27)), 3.01/0.76 inference(subsumption_resolution,[],[f419,f272])). 3.01/0.76 tff(f419,plain,( 3.01/0.76 ~$less(sK4,size1(sK3)) | $less(sK4,0) | ~spl17_27), 3.01/0.76 inference(resolution,[],[f396,f102])). 3.01/0.76 tff(f102,plain,( 3.01/0.76 ( ! [X0:uf_pure1,X1:$int] : (~$less(sK6(X0,X1),0) | ~$less(X1,size1(X0)) | $less(X1,0)) )), 3.01/0.76 inference(cnf_transformation,[],[f57])). 3.01/0.76 tff(f57,plain,( 3.01/0.76 ! [X0 : uf_pure1,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) | ~$less(X1,size1(X0)) | $less(X1,0))), 3.01/0.76 inference(flattening,[],[f56])). 3.01/0.76 tff(f56,plain,( 3.01/0.76 ! [X0 : uf_pure1,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) | (~$less(X1,size1(X0)) | $less(X1,0)))), 3.01/0.76 inference(ennf_transformation,[],[f29])). 3.01/0.76 tff(f29,plain,( 3.01/0.76 ! [X0 : uf_pure1,X1 : $int] : (($less(X1,size1(X0)) & ~$less(X1,0)) => ? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))))), 3.01/0.76 inference(theory_normalization,[],[f26])). 3.01/0.76 tff(f26,axiom,( 3.01/0.76 ! [X0 : uf_pure1,X1 : $int] : (($less(X1,size1(X0)) & $lesseq(0,X1)) => ? [X2 : $int] : ($lesseq(0,X2) & repr1(X0,X1,X2) & $less(X2,size1(X0))))), 3.01/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',repr_function_1)). 3.01/0.76 tff(f396,plain,( 3.01/0.76 $less(sK6(sK3,sK4),0) | ~spl17_27), 3.01/0.76 inference(avatar_component_clause,[],[f395])). 3.01/0.76 tff(f395,plain,( 3.01/0.76 spl17_27 <=> $less(sK6(sK3,sK4),0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_27])])). 3.01/0.76 tff(f418,plain,( 3.01/0.76 spl17_30 | spl17_32 | ~spl17_4), 3.01/0.76 inference(avatar_split_clause,[],[f407,f190,f416,f409])). 3.01/0.76 tff(f409,plain,( 3.01/0.76 spl17_30 <=> $less(sK0,0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_30])])). 3.01/0.76 tff(f416,plain,( 3.01/0.76 spl17_32 <=> ! [X0 : $int] : (~$less($product(X0,sK0),size1(sK3)) | $less(X0,sK0))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_32])])). 3.01/0.76 tff(f190,plain,( 3.01/0.76 spl17_4 <=> size1(sK3) = $product(sK0,sK0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_4])])). 3.01/0.76 tff(f407,plain,( 3.01/0.76 ( ! [X0:$int] : (~$less($product(X0,sK0),size1(sK3)) | $less(sK0,0) | $less(X0,sK0)) ) | ~spl17_4), 3.01/0.76 inference(superposition,[],[f103,f191])). 3.01/0.76 tff(f191,plain,( 3.01/0.76 size1(sK3) = $product(sK0,sK0) | ~spl17_4), 3.01/0.76 inference(avatar_component_clause,[],[f190])). 3.01/0.76 tff(f103,plain,( 3.01/0.76 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 3.01/0.76 inference(cnf_transformation,[],[f59])). 3.01/0.76 tff(f59,plain,( 3.01/0.76 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 3.01/0.76 inference(flattening,[],[f58])). 3.01/0.76 tff(f58,plain,( 3.01/0.76 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 3.01/0.76 inference(ennf_transformation,[],[f41])). 3.01/0.76 tff(f41,plain,( 3.01/0.76 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 3.01/0.76 inference(rectify,[],[f30])). 3.01/0.76 tff(f30,plain,( 3.01/0.76 ! [X1 : $int,X2 : $int,X3 : $int] : (~$less(X2,X1) => (~$less(X3,0) => ~$less($product(X2,X3),$product(X1,X3))))), 3.01/0.76 inference(theory_normalization,[],[f13])). 3.01/0.76 tff(f13,axiom,( 3.01/0.76 ! [X1 : $int,X2 : $int,X3 : $int] : ($lesseq(X1,X2) => ($lesseq(0,X3) => $lesseq($product(X1,X3),$product(X2,X3))))), 3.01/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 3.01/0.76 tff(f414,plain,( 3.01/0.76 spl17_30 | spl17_31 | ~spl17_4), 3.01/0.76 inference(avatar_split_clause,[],[f406,f190,f412,f409])). 3.01/0.76 tff(f412,plain,( 3.01/0.76 spl17_31 <=> ! [X0 : $int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,X0))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_31])])). 3.01/0.76 tff(f406,plain,( 3.01/0.76 ( ! [X0:$int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,0) | $less(sK0,X0)) ) | ~spl17_4), 3.01/0.76 inference(superposition,[],[f103,f191])). 3.01/0.76 tff(f405,plain,( 3.01/0.76 spl17_29 | spl17_27 | ~spl17_24), 3.01/0.76 inference(avatar_split_clause,[],[f390,f379,f395,f403])). 3.01/0.76 tff(f403,plain,( 3.01/0.76 spl17_29 <=> $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_29])])). 3.01/0.76 tff(f379,plain,( 3.01/0.76 spl17_24 <=> $less(sK6(sK3,sK4),size1(sK3))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_24])])). 3.01/0.76 tff(f390,plain,( 3.01/0.76 $less(sK6(sK3,sK4),0) | $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3)) | ~spl17_24), 3.01/0.76 inference(resolution,[],[f380,f100])). 3.01/0.76 tff(f100,plain,( 3.01/0.76 ( ! [X0:uf_pure1,X1:$int] : (~$less(X1,size1(X0)) | $less(X1,0) | $less(sK6(X0,X1),size1(X0))) )), 3.01/0.76 inference(cnf_transformation,[],[f57])). 3.01/0.76 tff(f380,plain,( 3.01/0.76 $less(sK6(sK3,sK4),size1(sK3)) | ~spl17_24), 3.01/0.76 inference(avatar_component_clause,[],[f379])). 3.01/0.76 tff(f401,plain,( 3.01/0.76 spl17_28 | spl17_27 | ~spl17_24), 3.01/0.76 inference(avatar_split_clause,[],[f389,f379,f395,f399])). 3.01/0.76 tff(f399,plain,( 3.01/0.76 spl17_28 <=> repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK6(sK3,sK4)))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_28])])). 3.01/0.76 tff(f389,plain,( 3.01/0.76 $less(sK6(sK3,sK4),0) | repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK6(sK3,sK4))) | ~spl17_24), 3.01/0.76 inference(resolution,[],[f380,f101])). 3.01/0.76 tff(f101,plain,( 3.01/0.76 ( ! [X0:uf_pure1,X1:$int] : (~$less(X1,size1(X0)) | $less(X1,0) | repr1(X0,X1,sK6(X0,X1))) )), 3.01/0.76 inference(cnf_transformation,[],[f57])). 3.01/0.76 tff(f397,plain,( 3.01/0.76 spl17_26 | spl17_27 | ~spl17_5 | ~spl17_17 | ~spl17_24), 3.01/0.76 inference(avatar_split_clause,[],[f388,f379,f256,f194,f395,f392])). 3.01/0.76 tff(f392,plain,( 3.01/0.76 spl17_26 <=> repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK4))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_26])])). 3.01/0.76 tff(f388,plain,( 3.01/0.76 $less(sK6(sK3,sK4),0) | repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK4)) | (~spl17_5 | ~spl17_17 | ~spl17_24)), 3.01/0.76 inference(resolution,[],[f380,f264])). 3.01/0.76 tff(f264,plain,( 3.01/0.76 ( ! [X6:$int] : (~$less(X6,size1(sK3)) | $less(X6,0) | repr1(sK3,X6,X6)) ) | (~spl17_5 | ~spl17_17)), 3.01/0.76 inference(backward_demodulation,[],[f241,f257])). 3.01/0.76 tff(f241,plain,( 3.01/0.76 ( ! [X6:$int] : (~$less(X6,num1(sK3)) | $less(X6,0) | repr1(sK3,X6,X6)) ) | ~spl17_5), 3.01/0.76 inference(backward_demodulation,[],[f80,f195])). 3.01/0.76 tff(f80,plain,( 3.01/0.76 ( ! [X6:$int] : ($less(X6,0) | ~$less(X6,$product(sK0,sK0)) | repr1(sK3,X6,X6)) )), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f387,plain,( 3.01/0.76 spl17_25 | spl17_10 | ~spl17_19), 3.01/0.76 inference(avatar_split_clause,[],[f383,f271,f215,f385])). 3.01/0.76 tff(f385,plain,( 3.01/0.76 spl17_25 <=> repr1(sK3,sK4,sK6(sK3,sK4))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_25])])). 3.01/0.76 tff(f383,plain,( 3.01/0.76 repr1(sK3,sK4,sK6(sK3,sK4)) | (spl17_10 | ~spl17_19)), 3.01/0.76 inference(subsumption_resolution,[],[f382,f216])). 3.01/0.76 tff(f382,plain,( 3.01/0.76 $less(sK4,0) | repr1(sK3,sK4,sK6(sK3,sK4)) | ~spl17_19), 3.01/0.76 inference(resolution,[],[f101,f272])). 3.01/0.76 tff(f381,plain,( 3.01/0.76 spl17_24 | spl17_10 | ~spl17_19), 3.01/0.76 inference(avatar_split_clause,[],[f377,f271,f215,f379])). 3.01/0.76 tff(f377,plain,( 3.01/0.76 $less(sK6(sK3,sK4),size1(sK3)) | (spl17_10 | ~spl17_19)), 3.01/0.76 inference(subsumption_resolution,[],[f376,f216])). 3.01/0.76 tff(f376,plain,( 3.01/0.76 $less(sK4,0) | $less(sK6(sK3,sK4),size1(sK3)) | ~spl17_19), 3.01/0.76 inference(resolution,[],[f100,f272])). 3.01/0.76 tff(f307,plain,( 3.01/0.76 spl17_23 | ~spl17_5 | spl17_10 | ~spl17_17 | ~spl17_19), 3.01/0.76 inference(avatar_split_clause,[],[f303,f271,f256,f215,f194,f305])). 3.01/0.76 tff(f303,plain,( 3.01/0.76 repr1(sK3,sK4,sK4) | (~spl17_5 | spl17_10 | ~spl17_17 | ~spl17_19)), 3.01/0.76 inference(subsumption_resolution,[],[f302,f216])). 3.01/0.76 tff(f302,plain,( 3.01/0.76 $less(sK4,0) | repr1(sK3,sK4,sK4) | (~spl17_5 | ~spl17_17 | ~spl17_19)), 3.01/0.76 inference(resolution,[],[f264,f272])). 3.01/0.76 tff(f296,plain,( 3.01/0.76 ~spl17_22 | spl17_13 | ~spl17_21), 3.01/0.76 inference(avatar_split_clause,[],[f291,f286,f228,f294])). 3.01/0.76 tff(f291,plain,( 3.01/0.76 ~same1(sK3,sK4,sK4) | (spl17_13 | ~spl17_21)), 3.01/0.76 inference(backward_demodulation,[],[f229,f287])). 3.01/0.76 tff(f229,plain,( 3.01/0.76 ~same1(sK3,sK4,sK5) | spl17_13), 3.01/0.76 inference(avatar_component_clause,[],[f228])). 3.01/0.76 tff(f288,plain,( 3.01/0.76 spl17_21 | ~spl17_12), 3.01/0.76 inference(avatar_split_clause,[],[f283,f225,f286])). 3.01/0.76 tff(f283,plain,( 3.01/0.76 sK4 = sK5 | ~spl17_12), 3.01/0.76 inference(resolution,[],[f83,f232])). 3.01/0.76 tff(f232,plain,( 3.01/0.76 path1(sK2,sK4,sK5) | ~spl17_12), 3.01/0.76 inference(avatar_component_clause,[],[f225])). 3.01/0.76 tff(f83,plain,( 3.01/0.76 ( ! [X4:$int,X3:$int] : (~path1(sK2,X3,X4) | X3 = X4) )), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f278,plain,( 3.01/0.76 spl17_20 | ~spl17_15 | ~spl17_17), 3.01/0.76 inference(avatar_split_clause,[],[f274,f256,f247,f276])). 3.01/0.76 tff(f247,plain,( 3.01/0.76 spl17_15 <=> $less(sK5,num1(sK3))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_15])])). 3.01/0.76 tff(f274,plain,( 3.01/0.76 $less(sK5,size1(sK3)) | (~spl17_15 | ~spl17_17)), 3.01/0.76 inference(forward_demodulation,[],[f248,f257])). 3.01/0.76 tff(f248,plain,( 3.01/0.76 $less(sK5,num1(sK3)) | ~spl17_15), 3.01/0.76 inference(avatar_component_clause,[],[f247])). 3.01/0.76 tff(f273,plain,( 3.01/0.76 spl17_19 | ~spl17_16 | ~spl17_17), 3.01/0.76 inference(avatar_split_clause,[],[f269,f256,f251,f271])). 3.01/0.76 tff(f251,plain,( 3.01/0.76 spl17_16 <=> $less(sK4,num1(sK3))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_16])])). 3.01/0.76 tff(f269,plain,( 3.01/0.76 $less(sK4,size1(sK3)) | (~spl17_16 | ~spl17_17)), 3.01/0.76 inference(forward_demodulation,[],[f252,f257])). 3.01/0.76 tff(f252,plain,( 3.01/0.76 $less(sK4,num1(sK3)) | ~spl17_16), 3.01/0.76 inference(avatar_component_clause,[],[f251])). 3.01/0.76 tff(f263,plain,( 3.01/0.76 ~spl17_18 | spl17_1 | ~spl17_4), 3.01/0.76 inference(avatar_split_clause,[],[f259,f190,f178,f261])). 3.01/0.76 tff(f261,plain,( 3.01/0.76 spl17_18 <=> $less(size1(sK3),0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_18])])). 3.01/0.76 tff(f178,plain,( 3.01/0.76 spl17_1 <=> $less($product(sK0,sK0),0)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_1])])). 3.01/0.76 tff(f259,plain,( 3.01/0.76 ~$less(size1(sK3),0) | (spl17_1 | ~spl17_4)), 3.01/0.76 inference(forward_demodulation,[],[f179,f191])). 3.01/0.76 tff(f179,plain,( 3.01/0.76 ~$less($product(sK0,sK0),0) | spl17_1), 3.01/0.76 inference(avatar_component_clause,[],[f178])). 3.01/0.76 tff(f258,plain,( 3.01/0.76 spl17_17 | ~spl17_4 | ~spl17_5), 3.01/0.76 inference(avatar_split_clause,[],[f254,f194,f190,f256])). 3.01/0.76 tff(f254,plain,( 3.01/0.76 size1(sK3) = num1(sK3) | (~spl17_4 | ~spl17_5)), 3.01/0.76 inference(backward_demodulation,[],[f195,f191])). 3.01/0.76 tff(f253,plain,( 3.01/0.76 spl17_16 | ~spl17_5 | ~spl17_11), 3.01/0.76 inference(avatar_split_clause,[],[f243,f220,f194,f251])). 3.01/0.76 tff(f220,plain,( 3.01/0.76 spl17_11 <=> $less(sK4,$product(sK0,sK0))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_11])])). 3.01/0.76 tff(f243,plain,( 3.01/0.76 $less(sK4,num1(sK3)) | (~spl17_5 | ~spl17_11)), 3.01/0.76 inference(backward_demodulation,[],[f221,f195])). 3.01/0.76 tff(f221,plain,( 3.01/0.76 $less(sK4,$product(sK0,sK0)) | ~spl17_11), 3.01/0.76 inference(avatar_component_clause,[],[f220])). 3.01/0.76 tff(f249,plain,( 3.01/0.76 spl17_15 | ~spl17_5 | ~spl17_7), 3.01/0.76 inference(avatar_split_clause,[],[f242,f202,f194,f247])). 3.01/0.76 tff(f202,plain,( 3.01/0.76 spl17_7 <=> $less(sK5,$product(sK0,sK0))), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_7])])). 3.01/0.76 tff(f242,plain,( 3.01/0.76 $less(sK5,num1(sK3)) | (~spl17_5 | ~spl17_7)), 3.01/0.76 inference(backward_demodulation,[],[f203,f195])). 3.01/0.76 tff(f203,plain,( 3.01/0.76 $less(sK5,$product(sK0,sK0)) | ~spl17_7), 3.01/0.76 inference(avatar_component_clause,[],[f202])). 3.01/0.76 tff(f238,plain,( 3.01/0.76 ~spl17_14), 3.01/0.76 inference(avatar_split_clause,[],[f88,f236])). 3.01/0.76 tff(f236,plain,( 3.01/0.76 spl17_14 <=> false1 = true1), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_14])])). 3.01/0.76 tff(f88,plain,( 3.01/0.76 false1 != true1), 3.01/0.76 inference(cnf_transformation,[],[f12])). 3.01/0.76 tff(f12,axiom,( 3.01/0.76 false1 != true1), 3.01/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 3.01/0.76 tff(f234,plain,( 3.01/0.76 spl17_6 | spl17_12 | spl17_13 | ~spl17_8), 3.01/0.76 inference(avatar_split_clause,[],[f231,f205,f228,f225,f199])). 3.01/0.76 tff(f199,plain,( 3.01/0.76 spl17_6 <=> $less(num1(sK3),1)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_6])])). 3.01/0.76 tff(f205,plain,( 3.01/0.76 spl17_8 <=> size1(sK3) = $sum(num1(sK3),sK1)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_8])])). 3.01/0.76 tff(f231,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | same1(sK3,sK4,sK5) | path1(sK2,sK4,sK5) | $less(num1(sK3),1)), 3.01/0.76 inference(global_subsumption,[],[f82,f71])). 3.01/0.76 tff(f71,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | same1(sK3,sK4,sK5) | path1(sK2,sK4,sK5) | $less(num1(sK3),1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f82,plain,( 3.01/0.76 size1(sK3) = $product(sK0,sK0)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f230,plain,( 3.01/0.76 ~spl17_12 | ~spl17_13 | ~spl17_8 | spl17_6), 3.01/0.76 inference(avatar_split_clause,[],[f223,f199,f205,f228,f225])). 3.01/0.76 tff(f223,plain,( 3.01/0.76 $less(num1(sK3),1) | size1(sK3) != $sum(num1(sK3),sK1) | ~same1(sK3,sK4,sK5) | ~path1(sK2,sK4,sK5)), 3.01/0.76 inference(global_subsumption,[],[f82,f72])). 3.01/0.76 tff(f72,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | ~same1(sK3,sK4,sK5) | ~path1(sK2,sK4,sK5) | $less(num1(sK3),1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f222,plain,( 3.01/0.76 spl17_6 | spl17_11 | ~spl17_8), 3.01/0.76 inference(avatar_split_clause,[],[f218,f205,f220,f199])). 3.01/0.76 tff(f218,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | $less(sK4,$product(sK0,sK0)) | $less(num1(sK3),1)), 3.01/0.76 inference(global_subsumption,[],[f82,f73])). 3.01/0.76 tff(f73,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | $less(sK4,$product(sK0,sK0)) | $less(num1(sK3),1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f217,plain,( 3.01/0.76 spl17_6 | ~spl17_8 | ~spl17_10), 3.01/0.76 inference(avatar_split_clause,[],[f213,f215,f205,f199])). 3.01/0.76 tff(f213,plain,( 3.01/0.76 ~$less(sK4,0) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 3.01/0.76 inference(global_subsumption,[],[f82,f74])). 3.01/0.76 tff(f74,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | ~$less(sK4,0) | $less(num1(sK3),1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f212,plain,( 3.01/0.76 spl17_6 | ~spl17_9 | ~spl17_8), 3.01/0.76 inference(avatar_split_clause,[],[f208,f205,f210,f199])). 3.01/0.76 tff(f208,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | ~$less(sK5,0) | $less(num1(sK3),1)), 3.01/0.76 inference(global_subsumption,[],[f82,f75])). 3.01/0.76 tff(f75,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | ~$less(sK5,0) | $less(num1(sK3),1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f207,plain,( 3.01/0.76 spl17_6 | spl17_7 | ~spl17_8), 3.01/0.76 inference(avatar_split_clause,[],[f197,f205,f202,f199])). 3.01/0.76 tff(f197,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | $less(sK5,$product(sK0,sK0)) | $less(num1(sK3),1)), 3.01/0.76 inference(global_subsumption,[],[f82,f76])). 3.01/0.76 tff(f76,plain,( 3.01/0.76 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | $less(sK5,$product(sK0,sK0)) | $less(num1(sK3),1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f196,plain,( 3.01/0.76 spl17_5), 3.01/0.76 inference(avatar_split_clause,[],[f81,f194])). 3.01/0.76 tff(f81,plain,( 3.01/0.76 num1(sK3) = $product(sK0,sK0)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f192,plain,( 3.01/0.76 spl17_4), 3.01/0.76 inference(avatar_split_clause,[],[f82,f190])). 3.01/0.76 tff(f188,plain,( 3.01/0.76 spl17_3), 3.01/0.76 inference(avatar_split_clause,[],[f85,f186])). 3.01/0.76 tff(f186,plain,( 3.01/0.76 spl17_3 <=> 0 = sK1), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_3])])). 3.01/0.76 tff(f85,plain,( 3.01/0.76 0 = sK1), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f184,plain,( 3.01/0.76 ~spl17_2), 3.01/0.76 inference(avatar_split_clause,[],[f86,f182])). 3.01/0.76 tff(f182,plain,( 3.01/0.76 spl17_2 <=> $less(sK0,1)), 3.01/0.76 introduced(avatar_definition,[new_symbols(naming,[spl17_2])])). 3.01/0.76 tff(f86,plain,( 3.01/0.76 ~$less(sK0,1)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 tff(f180,plain,( 3.01/0.76 ~spl17_1), 3.01/0.76 inference(avatar_split_clause,[],[f87,f178])). 3.01/0.76 tff(f87,plain,( 3.01/0.76 ~$less($product(sK0,sK0),0)), 3.01/0.76 inference(cnf_transformation,[],[f51])). 3.01/0.76 % SZS output end Proof for theBenchmark 3.01/0.77 % (4949)------------------------------ 3.01/0.77 % (4949)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.01/0.77 % (4949)Termination reason: Refutation 3.01/0.77 3.01/0.77 % (4949)Memory used [KB]: 6268 3.01/0.77 % (4949)Time elapsed: 0.333 s 3.01/0.77 % (4949)------------------------------ 3.01/0.77 % (4949)------------------------------ 3.01/0.77 % (4942)Success in time 0.425 s 3.01/0.77 EOF